论文标题
理解量子电路和状态的统一依赖理论
The unitary dependence theory for understanding quantum circuits and states
论文作者
论文摘要
我们开发了一个统一的依赖理论来表征量子电路和状态的行为,从量子门操作量子的方式并确定其测量概率。如果值的测量概率取决于栅极的参数,则量子位依赖于1 Quit的单位门。一个1 Qubit的统一产生了对目标量子定位的依赖性,并且CNOT门将所有依赖性从控制量矩形到目标量子轴复制。输出状态的完整依赖性图片详细介绍了连接量子机在操纵或测量时可能具有的连接可能会有。与量子电路和状态的常规纠缠描述相比,依赖图像提供了更多实用的信息,对多头系统的概括更容易概括,并在对系统进行分配后提供了更好的鲁棒性。统一依赖理论是理解量子电路和状态的有用工具,该工具基于对操作和测量如何受基本门影响的实际思想。
We develop a unitary dependence theory to characterize the behaviors of quantum circuits and states in terms of how quantum gates manipulate qubits and determine their measurement probabilities. A qubit has dependence on a 1-qubit unitary gate if its measurement probabilities depend on the parameters of the gate. A 1-qubit unitary creates such a dependence onto the target qubit, and a CNOT gate copies all the dependences from the control qubit to the target qubit. The complete dependence picture of the output state details the connections qubits may have when being manipulated or measured. Compared to the conventional entanglement description of quantum circuits and states, the dependence picture offers more practical information, easier generalization to many-qubit systems, and better robustness upon partitioning of the system. The unitary dependence theory is a useful tool for understanding quantum circuits and states that is based on the practical ideas of how manipulations and measurements are affected by elementary gates.